Hi,
Yes, as nick said earlier, that type of drive circuit is intended for a common cathode display. The "common" (anode or cathode) pins carry much higher currents, which is where/why the transistors are needed.
For a common anode display, you need to use "high side" auxiliary transistor swtches (driving the anodes), either PNP transistors or NPNs in an "emitter follower" configuration.
Then, directly-driving the cathodes from the PICaxe pins needs a "0" to activate the segment(s). PNP drivers will also require "active low" (0) signals to their base, but emitter followers will still need a "1" to activate the segment(s).
Cheers, Alan.